SOLUTION: log base 5 (log base 2 x) = 1 what are the steps to solve this

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Question 277879: log base 5 (log base 2 x) = 1 what are the steps to solve this
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
Log%5B5%5D%28Log%5B2%5D%28x%29%29+=+1
Recall the definition of the logarithm of a number (variable).
"The logarithm of a number (variable) is the power to which the base must be raised to equal that number (variable)" or...
Log%5Bb%5D%28x%29+=+y can be expressed as: x+=+b%5Ey
So you can express the given logarithm as...
Log%5B2%5D%28x%29+=+5%5E1 or
Log%5B2%5D%28x%29+=+5 applying the rule again...
x+=+2%5E5 or...
highlight%28x+=+32%29